There are only three regular polygons which can make a regular tessellation?
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its a not regular polygon
a "regular" one
A regular polygon is a polygon whose sides are equal length and whose angles are all the same value. A non regular polygon is just the opposite of a regular polygon.
A triangle (not traingle) is a polygon. It can be a regular polygon but need not be.
it seems to me that the only polygon of your description is a square